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Finding the Fourth Proportional to 361,583.31, 498,985.07 and 200,462.43

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Solution

The fourth proportional to 361,583.31, 498,985.07 and 200,462.43 is: 276,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,583.31 : 498,985.07 = 200,462.43 : x
  2. Step 2: Convert to fraction form
    361,583.31/498,985.07 = 200,462.43/x
  3. Step 3: Cross multiply
    361,583.31x = 498,985.07 × 200,462.43
  4. Step 4: Simplify right side
    361,583.31x = 100,027,758,663.61
  5. Step 5: Solve for x
    x = 100,027,758,663.61/361,583.31
  6. Step 6: Final answer
    x = 276,638.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.